Ozil has made just two appearances for the Gunners so far this season and has been left out of the last five match day squads by Unai Emery.
United manager, Ole Gunnar Solskjaer, is keen on adding creativity to his midfield and Scholes thinks Ozil could be the answer.
“Man Utd could do with someone like Ozil who can link a team together,” Scholes told BT Sport.
“[He is] a player who can link teams together. He has got great quality, he’s shown that in his career.
“He could be an answer short-term, I don’t know. I think that would be up to him, ultimately.
“I can’t [see it happening], but he’s the type of player, short-term, who United could do with.”